3 papers
math.FA2026
An optimal time-singularity of the estimate for the heat semigroup related to the critical Sobolev embedding
Yi C. Huang, Tohru Ozawa, Chenmin Sun +1
We give a certain -estimate for the heat semigroup that is closely related to the fact $H^1(\mathbb{R}^2) \not\subset L^{\infty}(\…
math.AP2025
Remarks on the commutation relations between the Gauss--Weierstrass semigroup and monomial weights
Yi C. Huang, Ryunosuke Kusaba, Tohru Ozawa
We consider the commutation relations between the Gauss--Weierstrass semigroup on , generated by convolution with the complex Gaussian kernel, and monomial weights.…
math.CA2025
On a minimisation problem related to the solenoidal uncertainty
Yi C. Huang, Tohru Ozawa, Xinhang Tong
We study Hamamoto's expanding square argument towards a 1-D minimisation problem related to the sharp solenoidal uncertainty principle. Working in the right function space, we reca…